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Finding the Third Proportional to 1,360,996 and 2,971,019

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Solution

The third proportional to 1,360,996 and 2,971,019 is: 6,485,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,996 : 2,971,019 = 2,971,019 : x
  2. Step 2: Convert to fraction form
    1,360,996/2,971,019 = 2,971,019/x
  3. Step 3: Cross multiply
    1,360,996x = 2,971,019 × 2,971,019
  4. Step 4: Simplify right side
    1,360,996x = 8,826,953,898,361
  5. Step 5: Solve for x
    x = 8,826,953,898,361/1,360,996
  6. Step 6: Final answer
    x = 6,485,657.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.